Best Known (26, 26+48, s)-Nets in Base 128
(26, 26+48, 300)-Net over F128 — Constructive and digital
Digital (26, 74, 300)-net over F128, using
- (u, u+v)-construction [i] based on
- digital (1, 25, 150)-net over F128, using
- net from sequence [i] based on digital (1, 149)-sequence over F128, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150, using
- net from sequence [i] based on digital (1, 149)-sequence over F128, using
- digital (1, 49, 150)-net over F128, using
- net from sequence [i] based on digital (1, 149)-sequence over F128 (see above)
- digital (1, 25, 150)-net over F128, using
(26, 26+48, 513)-Net over F128 — Digital
Digital (26, 74, 513)-net over F128, using
- t-expansion [i] based on digital (24, 74, 513)-net over F128, using
- net from sequence [i] based on digital (24, 512)-sequence over F128, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 24 and N(F) ≥ 513, using
- net from sequence [i] based on digital (24, 512)-sequence over F128, using
(26, 26+48, 242531)-Net in Base 128 — Upper bound on s
There is no (26, 74, 242532)-net in base 128, because
- the generalized Rao bound for nets shows that 128m ≥ 858110 304095 918036 716150 260072 500647 816054 305286 375136 832866 321235 013049 500571 619196 992578 130654 983389 081110 335298 032975 240149 679302 740395 666552 227030 441364 > 12874 [i]